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olga2289 [7]
4 years ago
13

Using the numbers 1, 2, 3, and 4 (ONLY ONCE), and the operations of adding, subtracting, multiplying, dividing, and the use of p

arenthesis, write an expression that evaluates to 21.
Mathematics
1 answer:
vazorg [7]4 years ago
3 0

Step-by-step explanation:

=(4+3)×(2+1)

=7×3

=21

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Please help!!! Intersection of chords use formula a•b=c•d
scoray [572]

Given:

Length of chords of one segment = 11 and 8

Length of chords of other segment = 2 and x

To find:

The value of x.

Solution:

<em>If two chords intersect each other inside a circle, the products of length their segments are equal.</em>

\Rightarrow a \cdot b =c \cdot d

\Rightarrow 11 \cdot 8 =2 \cdot x

\Rightarrow 88 =2x

Divide by 2 on both sides.

$\Rightarrow\frac{88}{2} =\frac{2x}{2}

$\Rightarrow 44 =x

Switch the sides.

$\Rightarrow x=44

The value of x is 44.

5 0
4 years ago
The diagonal of a rhombus is 24m and 10m. Find the perimeter.
dybincka [34]

Answer:

52m

Step-by-step explanation:

rhombus

its like a slanted square

all its 4 sides are equal like a square

both pairs of opposite sides are parallel

when the diagonals criss cross they make 4 triangles inside

the sides of the rhombus become the hypotenuse of a triangles inside

if the diagonal is 24 and 10 then

its radius is 12 and 5

the sides of the rhombus become the hypotenuse of a triangle that have the sides 12 and 5

hypotenuse of a triangle that has the sides 12 and 5 is

13

(its a special triangle: its a 5, 12, 13 right triangle)

13 times 4 is 52

4 0
2 years ago
24. Janelle has 342 pennies, 62 nickels,
mixer [17]

Answer:

$7.72

Step-by-step explanation:

62×5=310. 12×10=120. Add all that up and you get $7.72

6 0
3 years ago
Read 2 more answers
Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.
brilliants [131]

Answer:

x = 25

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

That is ∠ D and ∠ B are corresponding angles and congruent, thus

4x - 20 = 2x + 30 ( subtract 2x from both sides )

2x - 20 = 30 ( add 20 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

6 0
3 years ago
Please Help!!!
Leni [432]
<h2>Answer : (2.67, 3.53)</h2><h2></h2>

Step to step explanation:

Confidence interval for mean, when population standard deviation is unknown:

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean

n= sample size

s= sample standard deviation

t_{\alpha/2} = Critical t-value for n-1 degrees of freedom

We assume the family size is normal distributed.

Given, n= 31 , \overline{x}=3.1, s= 1.42 ,

\alpha=1-0.9=0.10

Critical t value for \alpha/2=0.05 and degree of 30 freedom

t_{\alpha/2} = 1.697  [By t-table]

The required confidence interval:

3.1\pm ( 1.697)\dfrac{1.42}{\sqrt{31}}\\\\=3.1\pm0.4328\\\\=(3.1-0.4328,\ 3.1+0.4328)=(2.6672,\ 3.5328)\approx(2.67,\ 3.53)

Hence,  the 90% confidence interval for the estimate = (2.67, 3.53)

6 0
3 years ago
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